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<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ,  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">SCS</font>) <b>-&gt; </b>  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">SCS</font> =  <a href="circuit2.html#K7" target="_self">Following</a> <font color="Maroon">a<sub>2</sub></font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a<sub>1</sub></font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="circuit1.html#K2">-th_InputValues</a> <font color="Maroon">InpFs</font></span>)</span>;<br/>
<b>thus </b><a NAME="E1:22_1_1"/>
(  ex <font color="Olive">IT</font> being  <a href="funct_2.html#NM1">Function</a> of  <a href="numbers.html#K5">NAT</a> , <a href="card_3.html#K4">product</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">SCS</font> st <br/>( <font color="Olive">IT</font> <a href="funct_2.html#K3">.</a> 0 <a href="hidden.html#R1">=</a>  <a href="circuit2.html#K8" target="_self">InitialComp</a> <font color="Maroon">s</font>,<font color="Maroon">InpFs</font> &amp; ( for <font color="Olive">i</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Olive">IT</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">i</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">i</font>,<font color="Olive">IT</font> <a href="funct_2.html#K3">.</a> <font color="Olive">i</font>) ) ) &amp; ( for <font color="Olive">IT1</font>, <font color="Olive">IT2</font> being  <a href="funct_2.html#NM1">Function</a> of  <a href="numbers.html#K5">NAT</a> , <a href="card_3.html#K4">product</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">SCS</font>  st <font color="Olive">IT1</font> <a href="funct_2.html#K3">.</a> 0 <a href="hidden.html#R1">=</a>  <a href="circuit2.html#K8" target="_self">InitialComp</a> <font color="Maroon">s</font>,<font color="Maroon">InpFs</font> &amp; ( for <font color="Olive">i</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Olive">IT1</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">i</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">i</font>,<font color="Olive">IT1</font> <a href="funct_2.html#K3">.</a> <font color="Olive">i</font>) ) &amp; <font color="Olive">IT2</font> <a href="funct_2.html#K3">.</a> 0 <a href="hidden.html#R1">=</a>  <a href="circuit2.html#K8" target="_self">InitialComp</a> <font color="Maroon">s</font>,<font color="Maroon">InpFs</font> &amp; ( for <font color="Olive">i</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Olive">IT2</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">i</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">i</font>,<font color="Olive">IT2</font> <a href="funct_2.html#K3">.</a> <font color="Olive">i</font>) ) holds <br/><font color="Olive">IT1</font> <a href="funct_2.html#R2">=</a> <font color="Olive">IT2</font> ) )
 <b>from </b><i><a class="ref" href="pre_circ.html#S3">PRE_CIRC:sch 3</a>();</i><br/>


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